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The $α$-induction of Graded Local Conformal Nets

Published 24 Jun 2024 in math.OA, math-ph, and math.MP | (2407.01591v3)

Abstract: The $\alpha$-induction of graded local conformal nets is studied. We show that inclusions of graded local conformal nets give rise to braided subfactors so that the $\alpha$-induction is still effective for graded local conformal nets. As an application, we give a shorter proof of classification of $N=2$ superconformal nets in the discrete series.

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